{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Smart water flooding analytical solution\n",
    "This document is mostly based on the SPE-7660 paper by Gary Pope. I first implement the simple water flooding analytical solution and then expand it to low salinity water flooding with and without ionic adsorption.\n",
    "\n",
    "## Mathematical model\n",
    "The two phase flow equation in a 1D porous medium reads\n",
    "$$\\frac{\\partial S_w}{\\partial t}+\\frac{u}{\\varphi}\\frac{df_w}{dS_w}\\frac{\\partial S_w}{\\partial x} = 0 $$\n",
    "The dimensionless time and space are defined as\n",
    "$$t_D = \\frac{ut}{\\varphi L}$$ and\n",
    "$$x_D = \\frac{x}{L}$$\n",
    "The velocity of a constant saturation front is calculated by\n",
    "$$V_{S_w} = (\\frac{dx}{dt})_{S_w}=\\frac{u}{\\varphi}\\frac{df_w}{dS_w}$$\n",
    "The shock front is specified by\n",
    "$$\\frac{f_w(S_{w,shock})-f_w(S_{w,init})}{S_{w,shock}-S_{w,init}}=\\left(\\frac{df_w}{dS_w}\\right)_{S_{w,shock}}$$\n",
    "The injected water front velocity (i.e., a tracer in the injected water, or the low salinity of the injected brine) is calculated by\n",
    "$$V_{c} = (\\frac{dx}{dt})_{c}=\\frac{u}{\\varphi}\\frac{f_w}{S_w}$$\n",
    "an the water saturation that corresponds to the position of the salinity front is given by\n",
    "$$\\frac{f_w(S_{w,s})-f_w(0)}{S_{w}-0.0}=\\left(\\frac{df_w}{dS_w}\\right)_{S_{w,shock}}$$\n",
    "which is the tangent line fron the point (0,0) to the $f_w-S_w$ (fractional flow) curve.\n",
    "The breakthrough time (in number of pore volume) is calculated by\n",
    "$$t_{D, bt} = \\left(\\frac{df_w}{dS_w}\\right)^{-1}_{S_{w,shock}}$$\n",
    "The other useful relation is the average saturation after breakthrough, which reads\n",
    "$$S_{w,av} = S_{or}+\\left[(1-f_w)\\left(\\frac{df_w}{dS_w}\\right)\\right]_{x=L}, \\;t_D>t_{D,bt}$$ \n",
    "The recovery factor then can be calculated based on the fact that the recovery curve is linear until the breakthrough, and after breakthrough it gradually reaches a plateau. The oil recovery factor before the breakthrough is calculated by\n",
    "$$R = \\frac{(1-f_w(S_{w,init}))t_D}{1-S_{w,init}}, \\;t_D<t_{D,bt}$$ and after breakthrough by\n",
    "$$R = \\frac{S_{w,init}-S_{w,av}}{1-S_{w,init}}, \\; t_D>t_{D,bt}$$\n",
    "Let's try the above formulation in Julia."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing the codes\n",
    "The `FractionalFlow.jl` package is built to solve and visualize the analytical solutions to several injection problem in the petroleum engineering, including water flooding, low salinity water flooding with and without ionic adsorption, and solvent flooding (carbonated water, DME, etc). There are several functions that are documented in the code. Here, I show by example how to define a problem, solve it, and visualize the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module FractionalFlow\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "FractionalFlow"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"FractionalFlow.jl\")\n",
    "using PyPlot\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Water flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f8d5add2cd0>"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "FF.visualize(rel_perms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h2 style='padding: 10px'>Corey rel perm</h2><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h2 style='padding: 10px'>Corey rel perm</h2><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_relperm(rel_perms, title=\"Corey rel-perm parameters\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "FF.visualize(rel_perms, fluids)\n",
    "tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jRowAYNiwYYSHhzN58mQABg8ezLRp07jyyivp2rUrBw4c4K9//SuDBw8uKXhERKqVghyKv3kMD+Cj4msZfPsd+Hjq80qkqpha6Nx5552cOnWKiRMnkpqaSseOHVmyZEnJBOWkpKRSPTgvvvgiFouFF198kePHjxMaGsrgwYN59dVXzfoRREQubflLeOQcI9kWyuqox/jg8rA/PkdEnMZi1LExn+zsbIKCgsjKyiIwMNDsOCJSmx1eDR/dCMA9hS/w4uOPclkTfe6IVERFf3/XqKeuRERqjMJcjIX2p6w+K/4TEZ0GqsgRMYF2LxcRcYWEV7D8doTjRgPedruPRde1MTuRSJ2kHh0REWdL+hljw2wAxhc9xL292tMo0MfkUCJ1kwodERFnKsqDb0ZhweDL4t7s9b+akb2am51KpM5SoSMi4kwr/gYZB0kjhL8V38sz17XF10uzBETMokJHRMRZkn+Bn98DYFzhQ0Q0acLQTtrPSsRM+jNDRMQZivJhwSgwbHxji2Ol7Uo+ueEy3N0sZicTqdPUoyMi4gw/ToH0fWR71Ce+8D56tGpAz9YNzU4lUuep0BERqazjW2DtOwA8mzecLPx5bkCMyaFEBFToiIhUTnEBLBgNhpWNfn1Zar2Kge0aExsZbHYyEUGFjohI5fz0JpzcRZFPAx45fSduFnhaiwOKVBsqdEREKiplG6yZBsBMn0f4jUBu6xxBq0YBJgcTkfNU6IiIVERxIXwzGmzFnIocwIzUdnh5uPFkf/XmiFQnKnRERCpizduQ9itGvfo8lXMvAMOuiSI8uJ7JwUTkv5VrHZ133nnH4QuPGDGCgAB134pILZS2E356A4Ct7V9g7U/u+Ht7MKpvK5ODicj/Kleh89RTTxEREYG7u3u5LpqcnMyNN96oQkdEah9rMXwzCmxFGG1v4Pk9rYFcHujZnPp+XmanE5H/Ue6VkTdt2kSjRo3KdawKHBGptdbNgJSt4BPMshbPs2/bcQJ8PHiwpzbuFKmOyjVHJz4+Hn9//3Jf9IUXXqB+/foVDiUiUi2d3AOrpgBgGzCZ19dkAvBQzxYE1fM0M5mIXITFMAzD7BBVKTs7m6CgILKysggMDDQ7jojUFDYrzL0Ojm+C1tfxzWVv89SX2wiq58nq5/sS6KNCR8SVKvr7u1JPXU2ZMoXMzMzKXEJEpGZYP8te5HgHUnzDNGasOADAw71aqMgRqcYqVei89tprZGRkOCuLiEj1lL4fVvzN3h7wKt8csnA4PZcQX0+Gd482NZqIXFqlCp06NuolInWRzWrfy8paAC3/RFGHe3h3xX4AHundEn/vcj/TISIm0IKBIiKXsuEfkLwBvAJg8Dt8nXiCo6fP0sDPi2HdosxOJyJ/oFKFzq5du4iK0j90EamlTh+EhJft7etepiggnHdXnu/NaYGvl3pzRKq7Sv0rjYyMdFYOEZHqxWaDhY9DcR407wWdR7Bwy3GSM/Jo4OfFfddEm51QRMqhXD069evXJz09vdwXbdasGUePHq1wKBER022aC0fXgqcfDHkXqwGzVtqftHoorgX1vMq3UryImKtcPTqZmZl8//33BAUFleuip0+fxmq1ViqYiIhpfjsCy+Lt7f4vQUg0i7ad4FB6LkH1PLlPc3NEaoxyD10NHz7clTlERKoHw7APWRXlQlQPuOohbDaDmeeetHqgR3M9aSVSg5TrX6vNZnN1DhGR6mHzPDj8E3jUgyHvgpsbP+xIYV/aGQK8Pbi/R7TZCUXEAXq8XETkvMxk+GGivd1vIjRoiWEYvHtuFeTh3aO1p5VIDaNCR0QE7ENW3z4BhTkQ2RW6PgLAyr0n2XkiG18vdx7QDuUiNY4KHRERgMRP4OAK8PCBm2aBmzuGYfBOgr03575roqjv52VySBFxlAodEZHsE7B0gr3d9wVo2BqAtQdOszU5Ex9PNx6Ka2FiQBGpKBU6IlK3GQZ8+xQUZEF4Z+j2WMlb762y9+b8+apmhAZ4m5VQRCrB4UJn2LBhzJs3j4MHD7oij4hI1dr+BexfCu5ecNN74GZfCHBrcibrDp7Gw83CyF7qzRGpqRwudLy8vJg8eTKtW7cmMjKSe++9lzlz5rB//35X5BMRcZ2cVPj+eXu79/PQKKbkrb+f6825qWM44cH1zEgnIk7gcKEzZ84c9u3bR3JyMlOnTsXf35+33nqLmJgYIiIiXJFRRMT5DAO+Gwv5mdAkFno8WfLWgZM5LN2ZhsUCj/ZRb45ITVbhOTohISE0aNCAkJAQgoOD8fDwIDQ01JnZRERcZ8d/YO8icPO0D1m5/74+zt9XHQLgusvDaNUowKyEIuIEDhc6L7zwAt27d6dBgwaMGzeO/Px8xo0bR2pqKomJia7IKCLiXGdOwuJn7e1ez0LjdiVvHc/MY8HW4wA82qeVGelExIkc3rBlypQphIaGEh8fz9ChQ2nTpo0rcomIuM7iZyAvA8LaQ9zYUm998NMhim0G3Vs2oGNksEkBRcRZHC50EhMT+fHHH1m1ahVvvfUWXl5e9O7dmz59+tCnTx8VPiJSve38BnYtADcPuHlWqSGr02cK+PyXJABGqTdHpFZwuNCJjY0lNjaWJ554AoBt27bx9ttvM3r0aGw2G1ar1ekhRUScIvc0LHra3u45xj4J+b/MX3eE/CIb7cOD6NGqgQkBRcTZHC50DMMgMTGRVatWsWrVKtasWUN2djYdOnSgd+/ersgoIuIc3z8HZ9Mh9DL73Jz/kltQzEfrjgAwqk9LLBaLCQFFxNkcLnTq16/PmTNniI2NpXfv3owcOZK4uDiCgzWWLSLV2J5FsOPfYHGzD1l5lF7p+PNfksnOL6Z5Qz+uu6KxSSFFxNkcLnQ++eQT4uLiCAwMdEUeERHnO5sB342xt7s/Yd/q4b8UWW18uOYwAA/FNcfdTb05IrWFw4XOoEGDStrHjh0D0EKBIlK9LRkPZ9KgYRvoM/6CtxdtT+F4Zh4N/b24tZM+z0RqE4fX0bHZbLz88ssEBQURFRVFVFQUwcHBvPLKK9hsNldkFBGpuH1LYfvn9iGrm94DT59SbxuGwT9+si8QOLxbND6e7makFBEXcbhHZ8KECcydO5cpU6bQo0cPANasWcNLL71Efn4+r776qtNDiohUSF4mfHtua4drRkHkVRccsuZAOrtTsqnn6c593aKqOKCIuJrDhc5HH33EnDlzGDJkSMlrHTp0IDw8nFGjRqnQEZHq44cJkJMC9VvCn14s85B//GjvzbnzqkiCfb2qMp2IVAGHh64yMjKIiYm54PWYmBgyMjKcEkpEpNIOLIfETwAL3DQLPC/cgXzH8SzWHEjH3c3Cgz2bV31GEXE5hwud2NhYZs6cecHrM2fOJDY2towzRESqWH42LDw3ZNX1EYjqVuZh75+bmzOofRMi6/tWVToRqUIOD11NnTqVQYMGsXz5crp1s394rF+/nuTkZBYvXuz0gCIiDls2EbKPQUg09JtY5iHJGWdZ9GsKAA/3alGF4USkKjnco9O7d2/27dvHLbfcQmZmJpmZmQwdOpS9e/cSFxfniowiIuV3aBVsnmdvD5kJXn5lHvbh2sNYbQY9WjWgXXhQ1eUTkSrlcI8OQNOmTTXpWESqn4IzsPBxe7vLg9C87D++svKK+PKXZABGxqk3R6Q2K1ehs3379nJfsEOHDhUOIyJSKctfgswkCGoG10666GGfb0wit9BKmzB/ercJrbp8IlLlylXodOzYEYvFgmEYlzzOYrFo93IRMceRNfDLB/b2kHfAO6DMw4qsNuaf27zzoZ4ttHmnSC1Xrjk6hw8f5tChQxw+fPiSX4cOHXI4wKxZs4iOjsbHx4euXbuycePGSx6fmZnJ6NGjadKkCd7e3rRp00aToEXqusKzsOAxe7vTcGjZ96KHLtqeQkpWPg39vbnpyqZVFFBEzFKuHp1bbrmFhIQEQkJCePnll3nmmWfw9a38o5hffPEFY8eOZfbs2XTt2pXp06czYMAA9u7dS6NGjS44vrCwkGuvvZZGjRrx73//m/DwcI4ePaqd00XquhWvwG+HITAcrnvloocZhsEHq89v9xCFt4e2exCp7SzGH41HAfXq1WP//v1ERETg7u5OSkpKmYWIo7p27cpVV11Vsi6PzWYjMjKSxx9/nHHjxl1w/OzZs3njjTfYs2cPnp6eFbpndnY2QUFBZGVlaQd2kdog6Wf48HrAgHv+A637X/TQdQfTufuDDfh4urF+XD9C/LQSskhNUdHf3+WeozNixAh69uyJYRi8+eab+Pv7l3nsxIllr1nxvwoLC9m8eTPjx/++k7Cbmxv9+/dn/fr1ZZ6zcOFCunXrxujRo1mwYAGhoaHcfffdPP/887i7l/2XWUFBAQUFBSXfZ2dnlyufiNQARXmwYDRgQMd7LlnkAMxZfRiA2zpHqMgRqSPKVejMnz+f+Ph4vvvuOywWC99//z0eHheearFYyl3opKenY7VaCQsLK/V6WFgYe/bsKfOcQ4cOsWLFCu655x4WL17MgQMHGDVqFEVFRcTHx5d5zuTJk5k06eJPX4hIDbbyNTh9APwbw4BLL3lx4GQOK/acxGKBB3vqkXKRuqJchU7btm35/PPPAXuvS0JCglOGrhxls9lo1KgR77//Pu7u7nTu3Jnjx4/zxhtvXLTQGT9+PGPHji35Pjs7m8jIyKqKLCKucmwTrD+3Hc3g6VAv5JKHz11j783pf1kYzRuWvYigiNQ+Di8YaLPZnHLjhg0b4u7uTlpaWqnX09LSaNy4cZnnNGnSBE9Pz1LDVJdddhmpqakUFhbi5XVhV7S3tzfe3t5OySwi1URRPnwzCgwbdLgT2g685OGnzxTw1ZbjgBYIFKlrHN4Cwlm8vLzo3LkzCQkJJa/ZbDYSEhJK9tD6Xz169ODAgQOliq19+/bRpEmTMoscEamlfnwd0veCXyO4fsofHv7phiQKim10iAjiquhL9/yISO1iWqEDMHbsWD744AM++ugjdu/ezaOPPkpubi4jRowAYNiwYaUmKz/66KNkZGTw5JNPsm/fPhYtWsRrr73G6NGjzfoRRKSqnUiEtTPs7RungW/9Sx5eUGzl4/VHAXiwZ3MtEChSx1RorytnufPOOzl16hQTJ04kNTWVjh07smTJkpIJyklJSbi5/V6LRUZGsnTpUsaMGUOHDh0IDw/nySef5PnnnzfrRxCRqlRcCN+MBsMKVwyFywb/4Snfbksh/UwBjQN9uKF9kyoIKSLVSbnW0alNtI6OSA228jX7sJVvQxi9AfwaXvJwwzC44Z017E7J5vnrY3i0T8sqCioizlbR39+mDl2JiJRbynZY/Za9fcMbf1jkAKw/eJrdKdnU83Tn7qubuTigiFRH5Rq6CgkJKfe4dkZGRqUCiYhcwFoEC0aBrdg+XHXFLeU67fwj5bd1jiDIt2KrqYtIzVauQmf69OmuziEicnFr3obUX+1r5QyaBuX4w+vQqTMk7DkJwIge0S4OKCLVVbkKneHDh7s6h4hI2dJ2wo9T7e2Bb4B/+RYrnbf2CAD9YhrRIrTsLWtEpPar1FNX+fn5FBYWlnpNE3xFxGmsxfaFAW1F0PYGaH9buU7LPFvIvzcfA+DBuOauTCgi1ZzDk5Fzc3N57LHHaNSoEX5+foSEhJT6EhFxmnXvQMpW8AmCG98u15AVwL82JpNXZOWyJoF0a9HAxSFFpDpzuNB57rnnWLFiBX//+9/x9vZmzpw5TJo0iaZNm/Lxxx+7IqOI1EWn9sKqyfb29VMgoOytYf5XkdXGx+uPAPBAj2gtEChSxzk8dPXtt9/y8ccf06dPH0aMGEFcXBytWrUiKiqKTz/9lHvuuccVOUWkLrFZYcFosBZCq2sh9q5yn7pkRyopWfk09PdiSMemLgwpIjWBwz06GRkZtGhh3xQvMDCw5HHynj178tNPPzk3nYjUTT+/B8d+Ae9AGDyj3ENWAB+utT9Sfu81UXh7uP/B0SJS2zlc6LRo0YLDh+0fJDExMXz55ZeAvacnODjYuelEpO5JPwAr/mZvX/c3CAov96lbkn4jMSkTL3c37uka5aKAIlKTOFzojBgxgm3btgEwbtw4Zs2ahY+PD2PGjOHZZ591ekARqUPOD1mzAPKbAAAgAElEQVQV50OLvtBpmEOnn3+kfEjHpoQGeLsgoIjUNA7P0RkzZkxJu3///uzZs4fNmzfTqlUrOnTo4NRwIlLHbHwfkn8GL38Y8o5DQ1YpWXks/jUF0AKBIvK7Su9eHhUVRVSUuohFpJIyDsHySfb2tS9DsGN7U328/ihWm8E1LepzRdMgFwQUkZqoQoVOQkICCQkJnDx5EpvNVuq9Dz/80CnBRKQOsdlgweNQnAfRcdB5hEOn5xVa+WxDEgAP9NACgSLyO4cLnUmTJvHyyy/TpUsXmjRpojUqRKTyNs2Fo2vA0xeGvAtujk0f/CrxGFl5RTSr70u/y8JcFFJEaiKHC53Zs2czf/587rvvPlfkEZG65rejsCze3u7/EtR3rEfGMIySScj3d4/G3U1/fInI7xx+6qqwsJDu3bu7IouI1DWGAd8+AUW50Kw7XDXS4Uv8tD+dAyfP4O/twe1dIlwQUkRqMocLnYceeojPPvvMFVlEpK7Z8hEcWgUePnDTTIeHrAA+XGNf1+uOLpEE+Hg6OaCI1HQOD13l5+fz/vvvs3z5cjp06ICnZ+kPlmnTpjktnIjUYpnJsPRFe/tPf4UGLR2+xIGTZ/hx3yksFvuwlYjI/3K40Nm+fTsdO3YEYMeOHaXe08RkESkXw4Bvn4TCHIi4Gq55tEKXmb/O3pvT/7IwmjXwdWZCEaklHC50Vq5c6YocIlKXbP0UDiaAuzfcNAvcHN+TKutsEf/ZfBzQAoEicnGOD4j/l2PHjnHs2DFnZRGRuiD7BCx5wd7u+wKEtqnQZT7/JYm8IisxjQPo1qKBEwOKSG3icKFjs9l4+eWXCQoKKlkVOTg4mFdeeeWCxQNFREoxDPhuDBRkQdNO0O2xCl2m2Grj4/VHAfsCgRo2F5GLcXjoasKECcydO5cpU6bQo0cPANasWcNLL71Efn4+r776qtNDikgtsf1L2LcE3L3g5vfAvWK70PywK43jmXnU9/NiSMemTg4pIrWJw58yH330EXPmzGHIkCElr3Xo0IHw8HBGjRqlQkdEypaTBt8/Z2/3fg4aXVbhS81ba5+EfE/XZvh4Oj6/R0TqDoeHrjIyMoiJibng9ZiYGDIyMpwSSkRqGcOARWMhPxMad4AeT1X4UtuPZfLLkd/wdLdw7zXaUFhELs3hQic2NpaZM2de8PrMmTOJjY11SigRqWV2/Af2fAduHueGrCq+sN/57R4GtW9CWKCPkwKKSG3l8NDV1KlTGTRoEMuXL6dbt24ArF+/nuTkZBYvXuz0gCJSw505BYuftbd7PQuN21f4Uiez8/lu+wkARmiXchEpB4d7dHr37s2+ffu45ZZbyMzMJDMzk6FDh7J3717i4uJckVFEarLFz0BeBoS1g55jK3WpT34+SpHVoEtUCLGRwU4KKCK1WYUeeWjatKkmHYvIH9u1AHZ9AxZ3+8KAHl4VvlR+kZVPNiQB8EBP9eaISPmUq9DZvn077dq1w83Nje3bt1/y2A4dOjglmIjUcLmnYdHT9nbPMdC0Y6Uut3DrCTJyCwkPrsd1l4c5IaCI1AXlKnQ6duxIamoqjRo1omPHjlgsFgzDuOA4i8WC1Wp1ekgRqYGWPA+5pyD0Mvvj5JVgGAYfnnukfFi3KDzcK7Wou4jUIeUqdA4fPkxoaGhJW0TkkvYshl//DyxucPMs8PCu1OXWHzrNntQc6nm68+ermjkppIjUBeUqdKKifl+r4ujRo3Tv3h0Pj9KnFhcXs27dulLHikgddDYDvju3Tk73xyG8c6Uv+eGaIwDc1jmCIN+KP5ouInWPw/2/ffv2LXNhwKysLPr27euUUCJSgy19Ac6kQYPW0OeFSl/u6OlcEvakAXC/dikXEQc5XOgYhlHmBnqnT5/Gz8/PKaFEpIbatxS2/Quw2BcG9Kz8gn7z1x3BMKBv21BahvpXPqOI1Cnlfrx86NChgH3C8f3334+39+9j7larle3bt9O9e3fnJxSRmiE/C749N2TVbTREXl3pS+bkF/F/m44BWiBQRCqm3IVOUFAQYO/RCQgIoF69eiXveXl5cc011zBy5EjnJxSRmmHpBMg5AfVbQN8JTrnkF78kc6agmNaN/Ilr3dAp1xSRuqXchc68efMAiI6O5tlnn8XX19dloUSkhjmQAIn/BCz2hQG9Kv/5YLUZzF93BLAvEFjWkLmIyB9xeI7OsGHDOH78+AWv79+/nyNHjjgjk4jUJAU58O2T9vbVD0OUc4awl+1K5dhveYT4enLLleFOuaaI1D0OFzr3338/69atu+D1DRs2cP/99zsjk4jUJMsmQlYyBEdB/3inXXbuGvuaXfd0jcLH091p1xWRusXhQicxMZEePXpc8Po111zD1q1bnRJKRGqIQz/Cpg/t7ZtmgpdznrzcfiyTX478hqe7hfu6aW0uEak4hwsdi8VCTk7OBa9nZWVp+weRuqTgDCx83N7u8gA07+W0S394rjfnxg5NCQus/CPqIlJ3OVzo9OrVi8mTJ5cqaqxWK5MnT6Znz55ODSci1VjCJMg8CkGRcO3LTrtsalY+321PAeABPVIuIpVU7qeuznv99dfp1asXbdu2JS4uDoDVq1eTnZ3NihUrnB5QRKqhI2th4/v29pB3wDvAaZf+589HKLYZXB1dn/YRQU67rojUTQ736Fx++eVs376dO+64g5MnT5KTk8OwYcPYs2cP7dq1c0VGEalOCs/CgtH2dqdh0PJPTrt0XqGVTzckAfBAz2inXVdE6i6He3QAmjZtymuvvebsLCJSE6z4G/x2GALD4bq/OfXSXyceJ/NsEZH163Ht5Y2dem0RqZsqVOgAnD17lqSkJAoLC0u93qFDh0qHEpFqKmkD/PyevT14Bvg4b2jJZjOYu+YQAMO7RePupgUCRaTyHC50Tp06xYgRI/j+++/LfF9PXonUUkV554asDIi9G1pf69TL/7jvFAdP5eLv7cGdV0U69doiUnc5PEfnqaeeIjMzkw0bNlCvXj2WLFnCRx99ROvWrVm4cKErMopIdbBqMpzeD/6N4XrnD13POdeb8+erIgnw8XT69UWkbnK4R2fFihUsWLCALl264ObmRlRUFNdeey2BgYFMnjyZQYMGuSKniJjp2GZY9669fePbUC/EqZffdSKbtQdO4+5m4f4e0U69tojUbQ736OTm5tKoUSMAQkJCOHXqFADt27dny5Ytzk0nIuYrLoAFo8CwQfvbIeYGp9/i/HYPA9s1JiJEGwaLiPM4XOi0bduWvXv3AhAbG8s//vEPjh8/zuzZs2nSpInTA4qIyX58HU7tAb9QGDjV6Zc/mZ3Pwm32jYIfimvh9OuLSN3m8NDVk08+SUqKfdXS+Ph4rr/+ej799FO8vLyYP3++s/OJiJlOJMKa6fb2oGngW9/pt/h4/VGKrAZdokLoGBns9OuLSN3mcKFz7733lrQ7d+7M0aNH2bNnD82aNaNhw4ZODSciJiouhG9Gg2GFK26By4c4/RZ5hVY+2XAUgIfitN2DiDifQ0NXRUVFtGzZkt27d5e85uvrS6dOnVTkiNQ2q9+CkzvBtwHc8KZLbvGfLce0QKCIuJRDhY6npyf5+flODzFr1iyio6Px8fGha9eubNy4sVznff7551gsFm6++WanZxKp01J/hdXnipsb3gA/5/8hY7MZJbuUP9CjuRYIFBGXcHgy8ujRo3n99dcpLi52SoAvvviCsWPHEh8fz5YtW4iNjWXAgAGcPHnykucdOXKEZ555pmRjURFxEmsRfDMKbMUQcyNcMdQlt1mx5ySH0nMJ8PHg9i5aIFBEXMPhOTq//PILCQkJ/PDDD7Rv3x4/P79S73/11VcOXW/atGmMHDmSESNGADB79mwWLVrEhx9+yLhx48o8x2q1cs899zBp0iRWr15NZmamoz+GiFzM2umQut2+Vs6gaWBxTU/L+6vtCwTe3bUZ/t4V3o1GROSSHP50CQ4O5tZbb3XKzQsLC9m8eTPjx48vec3NzY3+/fuzfv36i5738ssv06hRIx588EFWr17tlCwiAqTtglWv29vXvw4BYS65zdbkTDYezsDT3cKI7pqELCKuU65CZ+HChQwcOBBPT0/mzZvntJunp6djtVoJCyv9YRoWFsaePXvKPGfNmjXMnTuXrVu3luseBQUFFBQUlHyfnZ1d8cAitZm12L4woK0I2gyEDne47FYf/GTvzRkSG07jIB+X3UdEpFxzdG655ZaS4SF3d/c/nD/jKjk5Odx333188MEH5X7Ka/LkyQQFBZV8RUZqLoBImda/a183xyfIvs2Di4askk6f5fsd9rW4RvZSb46IuFa5Cp3Q0FB+/vlnAAzDwOKkD8CGDRvi7u5OWlpaqdfT0tJo3PjCR00PHjzIkSNHGDx4MB4eHnh4ePDxxx+zcOFCPDw8OHjw4AXnjB8/nqysrJKv5ORkp2QXqVVO7YOVk+3tAZMh0HWrnH+49jA2A3q1CSWmcaDL7iMiAuUcuvrLX/7CTTfdhMViwWKxlFmEnGe1Wst9cy8vLzp37kxCQkLJI+I2m42EhAQee+yxC46PiYnh119/LfXaiy++SE5ODjNmzCizt8bb2xtvb+9yZxKpc2xW+5CVtQBaXQsd73bZrTLPFvLFL/Y/Nh7ppe0eRMT1ylXovPTSS/z5z3/mwIEDDBkyhHnz5hEc7Jyl2seOHcvw4cPp0qULV199NdOnTyc3N7fkKaxhw4YRHh7O5MmT8fHxoV27dqXOP5/jf18XkXL6+e9w7BfwCoDB0102ZAXwyc9HySuycnmTQLq3bOCy+4iInFfup65iYmKIiYkhPj6e22+/HV9f5+wwfOedd3Lq1CkmTpxIamoqHTt2ZMmSJSUTlJOSknBzc3i5HxEpj9MHYcUr9vaAv0FQhMtulV9kZf46+3YPD/dq4bQhcBGRS7EYhmGYHaIqZWdnExQURFZWFoGBmh8gdZjNBvNvgKT10KIP3PeNS3tzvvglief/8ytNg3z48bm+eLrrDxgRKb+K/v7WJ41IXbXxfXuR4+kHg99xaZFjsxm8f+6R8gd6NleRIyJVRp82InVRxiFImGRvX/cyhES59HbLdqdx8JR9u4c7r9ISDyJSdVToiNQ1NhssfAKKzkJ0HHR+wKW3MwyD2T/al36475ooAnw8XXo/EZH/5lChU1RURL9+/di/f7+r8oiIq23+EI6sBk9fGPIuuHiy/8bDGSQmZeLl4caIHlogUESqlkOfcJ6enmzfvt1VWUTE1TKTYFm8vd0vHuq7vvA435tzW+cIQgO0ppWIVC2H/5S79957mTt3riuyiIgrGYZ9yKrwDDTrBlc/7PJb7knNZuXeU7hZ4OE4LRAoIlXP4d3Li4uL+fDDD1m+fDmdO3fGz8+v1PvTpk1zWjgRcaItH8OhleDhAzfNcvmQFcA/frQ/aTWwfROiG/r9wdEiIs7ncKGzY8cOOnXqBMC+fftKvacFwESqqaxj8MOL9vafXoQGLV1+y+SMsyzcdgKAR3u7/n4iImVxuNBZuXKlK3KIiKsYBnz7JBRkQ8RVcM2oKrnt3DWHsdoMerZqSLvwoCq5p4jI/6pw3/WBAwdYunQpeXl5gP0RUhGphrZ+BgeWg7v3uSErd5ffMiO3kM9/SQLgL+rNERETOVzonD59mn79+tGmTRtuuOEGUlJSAHjwwQd5+umnnR5QRCohOwWWjre3+46H0LZVctv5aw+TX2SjXXggPVpp804RMY/Dhc6YMWPw9PQkKSmp1Maed955J0uWLHFqOBGpBMOA78ZAfhY07QTdHq+S2+bkFzF/3REARvVppbl7ImIqh+fo/PDDDyxdupSIiNK7HLdu3ZqjR486LZiIVNKv/wf7vgc3T/uQlbvD/9wr5JOfk8jOL6ZlqB/XX9G4Su4pInIxDvfo5ObmlurJOS8jIwNvby0GJlIt5KTB98/Z272fh7DLq+S2+UVW5q6xP1I+qk8r3NzUmyMi5nK40ImLi+Pjjz8u+d5isWCz2Zg6dSp9+/Z1ajgRqQDDgMVPQ95v0LgD9Hyqym79+cYk0s8UEhFSjyEdm1bZfUVELsbhvuypU6fSr18/Nm3aRGFhIc899xw7d+4kIyODtWvXuiKjiDhi59ew+1tw84Cb3wP3qtlEs7DYxvs/2XtzHundEk937RksIuZz+JOoXbt27Nu3j549e3LTTTeRm5vL0KFDSUxMpGVLPUYqYqrcdFj8jL0d9zQ0bl9lt/4m8TgnsvJpFODN7Z0j/vgEEZEq4HCPTlJSEpGRkUyYMKHM95o1a+aUYCJSAYufgbOnodEVEPdMld3WajP4+7nNO0fGtcDH0/Vr9YiIlIfDPTrNmzfn1KlTF7x++vRpmjd3/U7IInIRuxbah60s7vYhKw+vKrv1ol9TOJyeS7CvJ3d31R87IlJ9OFzoGIZR5roYZ86cwcfHxymhRMRBZzNg0Vh7u+dT0LRjld3aZjN4b+UBAEZ0b46fd9U8xi4iUh7l/kQaO9b+IWqxWPjrX/9a6hFzq9XKhg0b6Nix6j5cReS/fP885J6C0Bj74+RV6IddqexJzSHA24P7u0dX6b1FRP5IuQudxMREwN6j8+uvv+Ll9Xu3uJeXF7GxsTzzTNXNCRCRc/Z+D79+CRY3uOk98Ki69axsNoMZCfbenPt7RBPkWzVPeImIlFe5C53zu5aPGDGCGTNmEBgY6LJQIlJOeb/Bt+fWyen2GER0rtLbL9udxu6UbPy9PXiwp+boiUj14/Bg+rx581yRQ0QqYukEOJMKDVpB3xeq9NaGYTBj+X4AhnePIti36iY/i4iUV4VmDW7atIkvv/ySpKQkCgsLS7331VdfOSWYiPyB/ctg66eAxT5k5VmvSm+/bFcau1Ky8fNy56GeLar03iIi5eXwU1eff/453bt3Z/fu3Xz99dcUFRWxc+dOVqxYQVBQkCsyisj/ys+ChU/Y29eMgmZdq/T2hmEwI+F8b040IX7qzRGR6snhQue1117j7bff5ttvv8XLy4sZM2awZ88e7rjjDi0WKFJVfngRck5A/Rbwpxer/PYJu0+y80Q2vl7uPBSn3hwRqb4cLnQOHjzIoEGDAPvTVrm5uVgsFsaMGcP777/v9IAi8j8OroAt5zbWHTITvHwvfbyTGYbB9IR9AAzrFk199eaISDXmcKETEhJCTk4OAOHh4ezYsQOAzMxMzp4969x0IlJaQc7vQ1ZXPwzRPao8woo9J9lxPJt6nu6MjNOTViJSvTk8GblXr14sW7aM9u3bc/vtt/Pkk0+yYsUKli1bRr9+/VyRUUTOWxYPWckQHAX94qv89jabwVs/nOvN6R5FA/+qW7NHRKQiHC50Zs6cSX5+PgATJkzA09OTdevWceutt/Lii1U/V0Ckzjj8E2yaa28PeRe8/as8wpKdqew6t27OX3q1rPL7i4g4yuFCp379+iVtNzc3xo0b59RAIlKGwlxY8Ji93XkEtOhd5RGsNoNpy+y9OQ/0bK4nrUSkRnB4js6wYcOYN28eBw8edEUeESnL8kmQeRQCI+Dal02JsGDrcQ6cPENQPU8e0twcEakhHC50vLy8mDx5Mq1btyYyMpJ7772XOXPmsH//flfkE5Gj62DjP+ztIe+AT9Vvv1JktTH93CrIj/RuQaCP9rQSkZrB4UJnzpw57Nu3j+TkZKZOnYq/vz9vvfUWMTExREREuCKjSN1VeBYWjLa3r7wPWpkz4f//Nh0jKeMsDf29tUO5iNQoDhc654WEhNCgQQNCQkIIDg7Gw8OD0NBQZ2YTkZWvQsYhCGgKA141JUJ+kZV3V9h7c0b3bYmvV4V2jhERMYXDhc4LL7xA9+7dadCgAePGjSM/P59x48aRmppKYmKiKzKK1E3JG2H9LHt78AzwMWeLlc82JJGSlU+TIB/uulqrn4tIzeLwn2ZTpkwhNDSU+Ph4hg4dSps2bVyRS6RuK8o/N2RlQOxd0OY6U2LkFhTz3qoDADzRrzU+nu6m5BARqSiHC53ExER+/PFHVq1axVtvvYWXlxe9e/emT58+9OnTR4WPiDOsmgzp+8A/DAa8ZlqMD1YfIv1MIVENfLmts+bgiUjNYzEMw6jMBbZt28bbb7/Np59+is1mw2q1OiubS2RnZxMUFERWVhaBgVX/9IrIHzq+Geb0B8MGf/4MYgaZEuNUTgG931jJ2UIrM+++khs7NDUlh4gIVPz3t8M9OoZhkJiYyKpVq1i1ahVr1qwhOzubDh060Lt31S9iJlKrFBfAN6PtRU6720wrcgDeXbGfs4VWYiOCGNS+iWk5REQqo0IrI585c4bY2Fh69+7NyJEjiYuLIzg42BX5ROqWH6fCqd3gFwoDp5oW43B6Lp9tSAJg3MDLsFgspmUREakMhwudTz75hLi4OA37iDjbia2w5m17e9Bb4NfAtChvLt1Lsc2gb9tQurU0L4eISGU5XOgMGmReV7pIrVVcaH/KyrDC5TfD5TeZFmVrciaLfk3BYoHnB8aYlkNExBkqvGCgiDjRmmmQtgN8G8ANb5oWwzAMJi/eDcCtnSKIaayeWxGp2VToiJgtdQf89Ia9PXAq+Ju3wvjKvSfZcDgDbw83xl6rpSJEpOZToSNiJmsRLBgFtmKIuRHa3WpalCKrjVcX2Xtz7u8RTdPgeqZlERFxFhU6ImZaOwNStoFPMAyaBiY+3fTpz0c5eCqXBn5ejO7byrQcIiLOpEJHxCwnd8OPr9vbA1+HgDDTomSeLeTt5faNO8de14ZAH0/TsoiIOJMKHREzWIvhm1FgLYTWA6DDnabGmb58P1l5RcQ0DuDOLpGmZhERcSYVOiJmWD8TTmwB7yAYPN3UIasDJ3P4589HAfjrjZfj4a6PBRGpPfSJJlLVTu2Dlec26rz+NQg0dw+pvy3ajdVmcO3lYfRo1dDULCIizqZCR6Qq2az2hQGtBdCyH3S8x9Q4K/eeZNXeU3i6W3jhhstMzSIi4goqdESq0obZcGwjeAXAkHdMHbIq9Th592iaN/QzLYuIiKuo0BGpKqcPQsIr9vZ1r0BQhKlx5q89woGTZ6jv58Vjf2ptahYREVdRoSNSFWw2WPg4FOdB897Q+X5T46Rm5TN9+T4Axl0fQ1A9PU4uIrWTCh2RqvDLHDi6Fjz9YMi7pg5ZAfxt0S5yC610ahbMbZ3N7VkSEXGlalHozJo1i+joaHx8fOjatSsbN2686LEffPABcXFxhISEEBISQv/+/S95vIjpMg7D8nh7+9pJEBJlapy1B9L5bnsKbhZ45eZ2uLmZW3SJiLiS6YXOF198wdixY4mPj2fLli3ExsYyYMAATp48Webxq1at4q677mLlypWsX7+eyMhIrrvuOo4fP17FyUXK4fyQVdFZiOoJXR40NU5BsZW/LtgBwLBu0VzRNMjUPCIirmYxDMMwM0DXrl256qqrmDlzJgA2m43IyEgef/xxxo0b94fnW61WQkJCmDlzJsOGDfvD47OzswkKCiIrK4vAwMBK5xe5pF/mwqKx4OkLj66F+i1MjTNr5QHeWLqXhv7eJDzdW3NzRKTGqOjvb1N7dAoLC9m8eTP9+/cvec3NzY3+/fuzfv36cl3j7NmzFBUVUb9+/TLfLygoIDs7u9SXSJXITIJlE+3tfhNNL3KOZ+bx7gr7flYv3KAJyCJSN5ha6KSnp2O1WgkLK72ZYVhYGKmpqeW6xvPPP0/Tpk1LFUv/bfLkyQQFBZV8RUZqHx+pAoYBC5+AwjMQeQ1c/YjJcQziF+wkv8jG1dH1ueXKcFPziIhUFdPn6FTGlClT+Pzzz/n666/x8fEp85jx48eTlZVV8pWcnFzFKaVOSvwnHFoJHj5w0yxwM/ef2uJfU1m+Ow0PNwuv3NwOi8lPfYmIVBUPM2/esGFD3N3dSUtLK/V6WloajRs3vuS5b775JlOmTGH58uV06NDhosd5e3vj7e3tlLwi5ZJ1HJZOsLf7ToCGrUyNk3m2kPiF9gnIo/q0pG3jAFPziIhUJVP/zPTy8qJz584kJCSUvGaz2UhISKBbt24XPW/q1Km88sorLFmyhC5dulRFVJHyMQz47ikoyIbwLtBttNmJeHXRbtLPFNIy1I/RfzK36BIRqWqm9ugAjB07luHDh9OlSxeuvvpqpk+fTm5uLiNGjABg2LBhhIeHM3nyZABef/11Jk6cyGeffUZ0dHTJXB5/f3/8/f1N+zlEANj2L9j/A7h7nRuycjc1zpr96fzf5mNYLPD6rR3w9jA3j4hIVTO90Lnzzjs5deoUEydOJDU1lY4dO7JkyZKSCcpJSUm4/df8hr///e8UFhZy2223lbpOfHw8L730UlVGFyktOwWWnFsSoc94aBRjapy8Qivjv94OwH3XRNEluuwnE0VEajPT19GpalpHR1zCMODzu2HvYmh6JTy4HNzN/Tvi1UW7+GD1YZoG+fDD2N74e5v+d42ISIXVyHV0RGqNX/9tL3LcPOGm90wvchKTfmPumsMAvHpLexU5IlJnqdARqawzJ+H7Z+3t3s9B2OWmxskrtPL0l9uwGXBzx6b0jWlkah4RETOp0BGprEVPQ95v0Lg99BxjdhpeX7KHQ+m5hAV6M2lIO7PjiIiYSoWOSGXs/Bp2LwQ3j3NDVuZuq7Bmfzrz1x0B4I3bYgny1TYPIlK3qdARqajcdFj0jL3dcyw0ufjClVUhK6+IZ/+9DYBh3aLo1SbU1DwiItWBCh2Rilr8LJxNh0aXQ69nzU7DpIU7ScnKp3lDP8YNNPfRdhGR6kKFjkhF7P4Wdn4FFnf7woAeXqbG+f7XFL5KPI6bBd66IxZfLz1lJSICKnREHHc2A74ba2/3eBLCO5ka53hmHuO++hWAUX1a0alZiKl5RESqExU6Io5aMg5yT0LDttD7eVOjFFttPPmvRLLyioiNCOKJfq1NzSMiUt2o0BFxxN4lsP0LsLjBze+Bp4+pcd5evo9NR58kLpkAAB5OSURBVH8jwNuDd+/qhJeH/kmLiPw3fSqKlFdepn1ncrDvSh7RxdQ4q/ef4r1VBwGYcmsHmjXwNTWPiEh1pEJHpLyWToCcFGjQCvpOMDXKyZx8xnyxFcOAu7s2Y1CHJqbmERGprlTo/H97dx4WZbn3Afw7DAzrACq7oMimhguESkIKpO/BNNQ2KT2KnhbXc9y33DWTDA0z05OetLejUfmiqamlBLmAZghpguYCuLFIoQyowMzc7x+Tk6OoQDDjDN/PdXFdz9zcz3P/5gc4P+/nfp6HqC7O7gey/wtAornKysLaYKGo1QJTvvgZpRXV6OAmx/znDPvICSKixxkLHaJHuX0D2PkvzXboGKDNUwYNJzHlLA6dK4W1hRQfDg2GlYXUoPEQET3OWOgQPcp384DyK0CLdkCfeQYN5dtTRfgg5SwAYOnzneDnIjdoPEREjzsWOkQPcz4VOP6pZnvQh4DM1mChnCtRYOqXmkc8jAzzxgtPehosFiIiY8FCh+hBqhTAjj9OWXV/A/B+2mChlN+uwZv/m4mKKiVC27XEnAEdDRYLEZExYaFD9CD7FwI3LgKObYC+Cw0WhlotMDkpGxdKK+HhYIU1w56EhZR/ukREdcF/LYlqk3cQOLZBsz1wNWBpZ7BQElPOIuV0CWTmZlg3PAROdpYGi4WIyNiw0CG6V3UlsGOCZjtkJOATabBQtmVd1i4+XvZ8Z3TxdDRYLERExoiFDtG9UpYAZfmAvSfwP0sMFkbG+d8wY+sJAMDo3j54MYSLj4mI6ouFDtHdCjKAo+s02wNXAVb2BgnjXIkCoz/7CTUqgQGd3TGzXweDxEFEZOxY6BDdUX0T+Ho8AAEE/x3w62uQMK4pqjBy4zGU31YipG0LrBjSFWZmEoPEQkRk7FjoEN2RuhT4/Twgdwf+ttQgIdyqVuH1T4/hctkteLeywfoR3XjnYyKiv4CFDhEAXDoGHPlIsx2zCrDW/6LfKqUKo/+biZ8v30ALGwtsHNUDLW1leo+DiMiUsNAhqrkNfD0OEGqgyytAQLTeQ1Cq1PjX51k48Os1WFtIsSGuG9o5Ge4uzEREpoKFDtEP8UDpr4CdK9Bvmd6HV6sFZmw9gW9PFUMmNcP6Ed0Q0ral3uMgIjJFLHSoebtyHDj8gWZ7wErARr8FhhAC877+BclZVyA1k2DNsCfxtL+TXmMgIjJlLHSo+VJWaa6yEiqg04tAx+f0OrwQAvF7TmPz0YuQSICVQ7rif55w1WsMRESmztzQARAZzIH3gJIcwMYJePY9vQ4thMCSXbn45HAeAM1djwcFtdZrDEREzQELHWqeCn8GDq7UbA9YAdi20tvQarXA3K9/wZajFwEASwYF4pUebfQ2PhFRc8JCh5ofZTWw/Y9TVk8MAgIH629olRoztp5ActYVmEmA+Be7YEg3L72NT0TU3LDQoebn0PtA8UnAuiXQf4Xehq1WqjHpiyzsPlkEqZkE78cGYWBXD72NT0TUHLHQoeal+JRmbQ4A9H8PsHPWy7CK2zUYt/k4Dp4thUxqhg+HBuNvgW56GZuIqDljoUPNh0oJbB8HqGuA9gM0V1rpwdXrt/CPTcdwukgBawsp1g0PQUSAfgosIqLmjoUONR/pq4DCbMDKEXhuJSBp+gdlnrp6A//YdAzF5VVwllvik7ju6Ozp0OTjEhGRBgsdah5KTgNp8ZrtfvGAvOlPG6WeKcGEzcdRWa1CgKsdNo7qgdaO1k0+LhER/YmFDpk+lVLzLCtVNeD/N6DrK006nBACa384j4Rvz0AtgHC/Vlj79xDYW1k06bhERHQ/Fjpk+o6sAa5kApYOmieTN+Epq/LbNZj25c/4LqcYABDbzQtLBneCzJw3ISciMgQWOmTaSs8C3y/VbEcvBeyb7nLuM0UKjPlvJvJKKyGTmmHRoEC80t0LEj2sBSIiotqx0CHTpVZpnmWlqgJ8+wDBf2+SYYQQ+L/jVzBv+y+4VaOCh4MV1v49BF29HJtkPCIiqjsWOmS6jv4buHQUkMmb7JTV75XVmLPtJPb8UgQA6OXvhFWvBKOlrazRxyIiovpjoUOm6bfzQMpizfbfFgOOjf+YhbQzJZi+9QSuKapgbibBxD7+GBflB6kZT1URET0uWOiQ6VGrgR3/BJS3gHa9gZBRjXr4iiol3t1zGp8dKQAA+DrbIjE2mPfHISJ6DLHQIdPz03+AgsOAhS0wcHWjnbISQmDvL0VYtDMHReW3AQAjw7wx69kOsLKQNsoYRETUuFjokGkpywf2LdBs910ItPBulMNe+v0m5n/9C1LPXAMAtG1lg6WDO+Npf6dGOT4RETUNFjpkOoTQnLKqqQTahgPdX//Lh7xZrcSGg3n4KO0cbteoYSGVYGyEL8ZF+XEWh4jICLDQIdORuRHIOwCYW2tOWZk1/CZ9NSo1vjh2CatSzuKaogoA0NOnFZYM7gQ/F7vGipiIiJoYCx0yDdcvAd/N12z3mQ+08m3QYdRqge9yirB87xlcKK0EALRpaYNp0e0R08WdN/8jIjIyLHTI+AkB7PwXUK0AvEKB0NH1PoRSpcbOE1exLu0CzhQrAAAtbWX41zN+GBralo9wICIyUix0yPhl/Rc4/z1gbgUMWgOY1X3tzO0aFb786RI+PnABl8tuAQDsLM0xKtwbb/b2gZwP4iQiMmosdMi4lV8Fvp2j2Y56C3Dyr9Nu569VYMvRi9iaeRk3btUAAFrZyvCPp9vh70+1hYM1CxwiIlPAQoeMlxDAzklA1Q2gdQjQc8JDu9+uUWFfTjG2HL2IjAu/ads9W1jjzd4+eDnEC9YyXklFRGRKWOiQcVGpgIMHgcJCQHIaOPstIJUBgz6q9ZRVtVKNw+dKsfPnq/gupxgVVUoAgJkEeKaDC4aGtkFEgAsf20BEZKJY6JDxSE4GJk4ELl8G7CTAODvAWgI4xwAuHbTdbtyqwaGzpUg9U4J9OcXaU1MA4OFghZdCPBHbow1aO1ob4l0QEZEesdAh45CcDLz0kuZ0FQAMsNIUOVdVEEs24Twi8G37cKSdKcHxi9ehUgvtrs5ySwzo7I6Yru4I9moBM87eEBE1G4/FNbNr1qyBt7c3rKysEBoaih9//PGh/b/66it06NABVlZW6Ny5M3bv3q2nSMkgVCrNTM6dIqeTOdDBAlAJ4OtbEGoBmxnTsGJPDo7ll0GlFvBzscPrT7fDljdCcWR2HywcGIiQti1Z5BARNTMGn9H54osvMGXKFKxbtw6hoaFITExEdHQ0zpw5AxcXl/v6p6en49VXX8WyZcvw3HPPYcuWLRg8eDCOHz+OTp06GeAdUFOoUqpw6fdbuPh7Jar2fY9nL1/WfMNWAjxrpdk+UAWUqGEGwENRinHSQrgO6ofIAGd4tbQxWOxERPT4kAghxKO7NZ3Q0FB0794dH374IQBArVbDy8sL//znPzFr1qz7+sfGxqKyshK7du3Stj311FMICgrCunXrHjleeXk5HBwccOPGDdjb2zfa+6hSqrSPCqA/qdVAjVqNGpUaSpVAtUqNyiolKm4robithKJKiRs3q3GtogrXFFUoUVShpLwKxYrb2gmcgTk/4IOd72leOEiAF6wBmQRYXwmo7xpsyxbg1Vf1/h6JiKjpNfTz26AzOtXV1cjMzMTs2bO1bWZmZujbty8yMjJq3ScjIwNTpkzRaYuOjsb27dtr7V9VVYWqqj8LkPLy8kaI/H6nrpbjhY/Sm+TYzZWNTIo2LW3Q1swX2PlH4w0BbLoJ2Eh0ixwAcHfXd4hERPSYM2ihU1paCpVKBVdXV512V1dXnD59utZ9ioqKau1fVFRUa/9ly5Zh0aJFjRPwQ0gAWPIxAbj3UVBmEgkspGawkEpgbmYGC3MJbGXmkFuZw87SHHZWFnCwNoeznRWc5ZZwkVvCSW6J1o7WcLKTaZ4tpQoHPnsbuHJFs05HAKgUuoN6egK9eun1vRIR0ePP4Gt0mtrs2bN1ZoDKy8vh5eXV6OMEt2mBM28/2+jHJQBSKbBqleaqK4nkz0XJwJ+VVWKiph8REdFdDDoF4eTkBKlUiuLiYp324uJiuLm51bqPm5tbvfpbWlrC3t5e54uM0AsvAFu3Aq1b67Z7emraX3jBMHEREdFjzaCFjkwmQ0hICFJSUrRtarUaKSkp6NmzZ6379OzZU6c/AOzbt++B/cmEvPACkJ8PpKZqFh6npgJ5eSxyiIjogQx+6mrKlCmIi4tDt27d0KNHDyQmJqKyshKjRo0CAIwYMQKtW7fGsmXLAAATJ05EREQEVqxYgQEDBiApKQk//fQTPv74Y0O+DdIXqRSIjDR0FEREZCQMXujExsbi2rVrmD9/PoqKihAUFIS9e/dqFxxfvHgRZmZ/TjyFhYVhy5YtmDt3Lt566y34+/tj+/btvIcOERER3cfg99HRt6a6jw4RERE1nYZ+fvN6aCIiIjJZLHSIiIjIZLHQISIiIpPFQoeIiIhMFgsdIiIiMlksdIiIiMhksdAhIiIik8VCh4iIiEwWCx0iIiIyWQZ/BIS+3bkRdHl5uYEjISIiorq687ld3wc6NLtCR6FQAAC8vLwMHAkRERHVl0KhgIODQ537N7tnXanValy9ehVyuRwSiaRRj11eXg4vLy9cunSJz9FqQsyzfjDP+sE86w9zrR9NlWchBBQKBTw8PHQe9v0ozW5Gx8zMDJ6enk06hr29Pf+I9IB51g/mWT+YZ/1hrvWjKfJcn5mcO7gYmYiIiEwWCx0iIiIyWdKFCxcuNHQQpkQqlSIyMhLm5s3urKBeMc/6wTzrB/OsP8y1fjxOeW52i5GJiIio+eCpKyIiIjJZLHSIiIjIZLHQISIiIpPFQoeIiIhMFgudelqzZg28vb1hZWWF0NBQ/Pjjjw/t/9VXX6FDhw6wsrJC586dsXv3bj1Fatzqk+f169ejV69eaNGiBVq0aIG+ffs+8udCGvX9fb4jKSkJEokEgwcPbuIITUN983z9+nWMHz8e7u7usLS0REBAAP/tqIP65jkxMRHt27eHtbU1vLy8MHnyZNy+fVtP0RqnAwcOICYmBh4eHpBIJNi+ffsj90lLS8OTTz4JS0tL+Pn5YdOmTU0f6N0E1VlSUpKQyWTik08+EadOnRJvvPGGcHR0FMXFxbX2P3z4sJBKpWL58uUiJydHzJ07V1hYWIiTJ0/qOXLjUt88Dx06VKxZs0ZkZWWJ3NxcMXLkSOHg4CAuX76s58iNS33zfEdeXp5o3bq16NWrlxg0aJCeojVe9c1zVVWV6Natm+jfv784dOiQyMvLE2lpaSI7O1vPkRuX+uZ58+bNwtLSUmzevFnk5eWJb7/9Vri7u4vJkyfrOXLjsnv3bjFnzhyRnJwsAIht27Y9tP+FCxeEjY2NmDJlisjJyRGrV68WUqlU7N27V08RC8FCpx569Oghxo8fr32tUqmEh4eHWLZsWa39hwwZIgYMGKDTFhoaKkaPHt2kcRq7+ub5XkqlUsjlcvHpp582VYgmoSF5ViqVIiwsTGzYsEHExcWx0KmD+uZ57dq1wsfHR1RXV+srRJNQ3zyPHz9ePPPMMzptU6ZMEeHh4U0apympS6EzY8YMERgYqNMWGxsroqOjmzI0HTx1VUfV1dXIzMxE3759tW1mZmbo27cvMjIyat0nIyNDpz8AREdHP7A/NSzP97p58yZqamrQsmXLpgrT6DU0z4sXL4aLiwtee+01fYRp9BqS5x07dqBnz54YP348XF1d0alTJ7zzzjtQqVT6CtvoNCTPYWFhyMzM1J7eunDhAnbv3o3+/fvrJebm4nH4HDT8LQuNRGlpKVQqFVxdXXXaXV1dcfr06Vr3KSoqqrV/UVFRk8Vp7BqS53vNnDkTHh4e9/1x0Z8akudDhw7hP//5D7Kzs/URokloSJ4vXLiA77//HsOGDcPu3btx7tw5jBs3DjU1NViwYIE+wjY6Dcnz0KFDUVpaiqeffhpCCCiVSowZMwZvvfWWPkJuNh70OVheXo5bt27B2tq6yWPgjA6ZlPj4eCQlJWHbtm2wsrIydDgmQ6FQYPjw4Vi/fj2cnJwMHY5JU6vVcHFxwccff4yQkBDExsZizpw5WLdunaFDMylpaWl455138NFHH+H48eNITk7GN998gyVLlhg6NGpknNGpIycnJ0ilUhQXF+u0FxcXw83NrdZ93Nzc6tWfGpbnOxISEhAfH4/9+/ejS5cuTRmm0atvns+fP4/8/HzExMRo29RqNQDA3NwcZ86cga+vb9MGbYQa8vvs7u4OCwsLSKVSbVvHjh1RVFSE6upqyGSyJo3ZGDUkz/PmzcPw4cPx+uuvAwA6d+6MyspKvPnmm5gzZw7MzDgP0Bge9Dlob2+vl9kcgDM6dSaTyRASEoKUlBRtm1qtRkpKCnr27FnrPj179tTpDwD79u17YH9qWJ4BYPny5ViyZAn27t2Lbt266SNUo1bfPHfo0AEnT55Edna29mvgwIGIiopCdnY2vLy89Bm+0WjI73N4eDjOnTunLSQB4Ndff4W7uzuLnAdoSJ5v3rx5XzFzp7gUfARko3ksPgf1tuzZBCQlJQlLS0uxadMmkZOTI958803h6OgoioqKhBBCDB8+XMyaNUvb//Dhw8Lc3FwkJCSI3NxcsWDBAl5eXgf1zXN8fLyQyWRi69atorCwUPulUCgM9RaMQn3zfC9edVU39c3zxYsXhVwuFxMmTBBnzpwRu3btEi4uLuLtt9821FswCvXN84IFC4RcLheff/65uHDhgvjuu++Er6+vGDJkiKHeglFQKBQiKytLZGVlCQBi5cqVIisrSxQUFAghhJg1a5YYPny4tv+dy8unT58ucnNzxZo1a3h5+eNu9erVok2bNkImk4kePXqII0eOaL8XEREh4uLidPp/+eWXIiAgQMhkMhEYGCi++eYbPUdsnOqT57Zt2woA930tWLBA/4Ebmfr+Pt+NhU7d1TfP6enpIjQ0VFhaWgofHx+xdOlSoVQq9Ry18alPnmtqasTChQuFr6+vsLKyEl5eXmLcuHGirKzMAJEbj9TU1Fr/vb2T27i4OBEREXHfPkFBQUImkwkfHx+xceNGvcYsEYJzdERERGSauEaHiIiITBYLHSIiIjJZLHSIiIjIZLHQISIiIpPFQoeIiIhMFgsdIiIiMlksdIiIiMhksdAhIiIik8VCh4joL9i0aRMcHR2bfBxvb29IJBJIJBJcv379ofHc6Tdp0qQmj4voccdCh8iIrVu3DnK5HEqlUttWUVEBCwsLREZG6vRNS0uDRCLB+fPn63RsfX2AN9TChQsRFBSk1zG9vb2RmJio0xYbG4tff/1VL+MvXrwYhYWFcHBweGCf2NhYFBYW8uHBRH9goUNkxKKiolBRUYGffvpJ23bw4EG4ubnh6NGjuH37trY9NTUVbdq0ga+vr15jVKlUOk/iftwIIXQKxfqytraGi4tLI0b0YHK5HG5ubpBIJA+Nx83NjU86J/oDCx0iI9a+fXu4u7sjLS1N25aWloZBgwahXbt2OHLkiE57VFSU9vXKlSvRuXNn2NrawsvLC+PGjUNFRYW276hRo3Djxg3taZCFCxcCAKqqqjBt2jS0bt0atra2CA0N1Rn/zkzQjh078MQTT8DS0hIXL168L/aysjIMGzYMzs7OsLa2hr+/PzZu3Kj9/syZMxEQEAAbGxv4+Phg3rx5qKmp0Y6xaNEi/Pzzz9r4Nm3ahPz8fEgkEmRnZ2uPc/36dUgkEm2Md2a29uzZg5CQEFhaWuLQoUM4f/48Bg0aBFdXV9jZ2aF79+7Yv3+/9jiRkZEoKCjA5MmTtWPe/X7vtnbtWvj6+kImk6F9+/b47LPPdL4vkUiwYcMGPP/887CxsYG/vz927NjxwJ8zETUcCx0iIxcVFYXU1FTt69TUVERGRiIiIkLbfuvWLRw9elSn0DEzM8MHH3yAU6dO4dNPP8X333+PGTNmAADCwsKQmJgIe3t7FBYWorCwENOmTQMATJgwARkZGUhKSsKJEyfw8ssvo1+/fjh79qz22Ddv3sS7776LDRs24NSpU7XOeMybNw85OTnYs2cPcnNzsXbtWjg5OWm/L5fLsWnTJuTk5GDVqlVYv3493n//fQCa0zNTp05FYGCgNr7Y2Nh65W3WrFmIj49Hbm4uunTpgoqKCvTv3x8pKSnIyspCv379EBMToy3SkpOT4enpqT19VFhYWOtxt23bhokTJ2Lq1Kn45ZdfMHr0aIwaNUrnZwQAixYtwpAhQ3DixAn0798fw4YNw++//16v90BEdaDXZ6UTUaNbv369sLW1FTU1NaK8vFyYm5uLkpISsWXLFtG7d28hhBApKSkCgCgoKHjgcb766ivRqlUr7euNGzcKBwcHnT4FBQVCKpWKK1eu6LT36dNHzJ49W7sfAJGdnf3QuGNiYsSoUaPq/D7fe+89ERISon29YMEC0bVrV50+eXl5AoDIysrStpWVlQkAIjU1VQghRGpqqgAgtm/f/sgxAwMDxerVq7Wv27ZtK95//32dPvfmKSwsTLzxxhs6fV5++WXRv39/7WsAYu7cudrXFRUVAoDYs2fPA2OpbeyHiYiIEBMnTqxzfyJTxRkdIiMXGRmJyspKHDt2DAcPHkRAQACcnZ0RERGhXaeTlpYGHx8ftGnTRrvf/v370adPH7Ru3RpyuRzDhw/Hb7/9hps3bz5wrJMnT0KlUiEgIAB2dnbarx9++EFnkbNMJkOXLl0eGvfYsWORlJSEoKAgzJgxA+np6Trf/+KLLxAeHg43NzfY2dlh7ty5tZ4Ca6hu3brpvK6oqMC0adPQsWNHODo6ws7ODrm5ufUeMzc3F+Hh4Tpt4eHhyM3N1Wm7Oz+2trawt7dHSUlJvca6+2cwZsyYeu1L1FyYGzoAIvpr/Pz84OnpidTUVJSVlSEiIgIA4OHhAS8vL6SnpyM1NRXPPPOMdp/8/Hw899xzGDt2LJYuXYqWLVvi0KFDeO2111BdXQ0bG5tax6qoqIBUKkVmZiakUqnO9+zs7LTb1tbWD10wCwDPPvssCgoKsHv3buzbtw99+vTB+PHjkZCQgIyMDAwbNgyLFi1CdHQ0HBwckJSUhBUrVjz0mGZmmv+7CSG0bXfW9dzL1tZW5/W0adOwb98+JCQkwM/PD9bW1njppZdQXV390DEbysLCQue1RCKp96Ltu9ci2dvbN0pcRKaGhQ6RCYiKikJaWhrKysowffp0bXvv3r2xZ88e/Pjjjxg7dqy2PTMzE2q1GitWrNAWB19++aXOMWUyGVQqlU5bcHAwVCoVSkpK0KtXr78ct7OzM+Li4hAXF4devXph+vTpSEhIQHp6Otq2bYs5c+Zo+xYUFDwyPmdnZwBAYWEhgoODAegWAw9z+PBhjBw5Es8//zwATVGXn5//yDHv1bFjRxw+fBhxcXE6x37iiSfqFEd9+Pn5NfoxiUwNCx0iExAVFYXx48ejpqZGO6MDABEREZgwYQKqq6t1FiL7+fmhpqYGq1evRkxMDA4fPox169bpHNPb2xsVFRVISUlB165dYWNjg4CAAAwbNgwjRozAihUrEBwcjGvXriElJQVdunTBgAED6hzz/PnzERISgsDAQFRVVWHXrl3o2LEjAMDf3x8XL15EUlISunfvjm+++Qbbtm27L768vDxkZ2fD09MTcrkc1tbWeOqppxAfH4927dqhpKQEc+fOrVM8/v7+SE5ORkxMDCQSCebNm3ffDIu3tzcOHDiAV155BZaWljqLp++YPn06hgwZguDgYPTt2xc7d+5EcnKyzhVcRKQ/XKNDZAKioqJw69Yt+Pn5wdXVVdseEREBhUKhvQz9jq5du2LlypV499130alTJ2zevBnLli3TOWZYWBjGjBmD2NhYODs7Y/ny5QCAjRs3YsSIEZg6dSrat2+PwYMH49ixYzrrf+pCJpNh9uzZ6NKlC3r37g2pVIqkpCQAwMCBAzF58mRMmDABQUFBSE9Px7x583T2f/HFF9GvXz9ERUXB2dkZn3/+OQDgk08+gVKpREhICCZNmoS33367TvGsXLkSLVq0QFhYGGJiYhAdHY0nn3xSp8/ixYuRn58PX19f7ezRvQYPHoxVq1YhISEBgYGB+Pe//42NGzfedwNHItIPibj7ZDYRET2WvL29MWnSpDo/1iEyMhJBQUH33cmZqLnhjA4RkZGYOXMm7OzscOPGjQf22bx5M+zs7HDw4EE9Rkb0+OKMDhGRESgoKNBeQebj46NdRH4vhUKB4uJiAICjo2Ot64iImhMWOkRERGSyeOqKiIiITBYLHSIiIjJZLHSIiIjIZLHQISIiIpPFQoeIiIhMFgsdIiIiMlksdIiIiMhksdAhIiIik/X/eCFcgVU5tqUAAAAASUVORK5CYII=",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sw_shock = 0.608438467199255\n",
      "breakthrough time = 0.4922812627958595\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f8d5b2b3d10>"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, \n",
    "    p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties()\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = linspace(0,1,100)\n",
    "# plot(sw_tmp, fw.(sw_tmp), xlabel = \"Sw\", ylabel=\"fw\", label=\"\")\n",
    "# plot!(sw_tmp, dfw.(sw_tmp))\n",
    "# figure(1)\n",
    "# plot(pv, R) \n",
    "# xlabel(\"PV injected\")\n",
    "# ylabel(\"Recovery factor\") \n",
    "# title(\"Water flooding\")\n",
    "# figure(2)\n",
    "# plot(xt, sw)\n",
    "# xlabel(\"x/t [-]\")\n",
    "# ylabel(\"Water saturation [-]\")\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low salinity water flooding - with/without adsorption"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.7233666450788676\n",
      "low sal breakthrough time = 0.7792345274868723\n",
      "high sal sw_shock = 0.5577460825529506\n",
      "high sal breakthrough time = 0.5041328948599879\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f8d5b140910>"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## compare with numeric"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  99%|█████████████████████████████████████████|  ETA: 0:00:00\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.30435, 2.6087, 3.91304, 5.21739, 6.52174, 7.82609, 9.13043, 10.4348, 11.7391  …  1162.17, 1163.48, 1164.78, 1166.09, 1167.39, 1168.7, 1170.0, 1171.3, 1172.61, 1173.91], [0.0, 0.000333333, 0.000666667, 0.001, 0.00133333, 0.00166667, 0.002, 0.00233333, 0.00266667, 0.003  …  0.297, 0.297333, 0.297667, 0.298, 0.298333, 0.298667, 0.299, 0.299333, 0.299667, 0.3], [0.0, 0.00041411, 0.000828221, 0.00124233, 0.00165644, 0.00207055, 0.00248466, 0.00289877, 0.00331288, 0.00372699  …  0.368972, 0.369387, 0.369801, 0.370215, 0.370629, 0.371043, 0.371457, 0.371871, 0.372285, 0.372699], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0015, 0.0018, 0.0021, 0.0024, 0.0027  …  0.1473, 0.1476, 0.1479, 0.1482, 0.1485, 0.1488, 0.1491, 0.1494, 0.1497, 0.15], [1.0, 0.847366, 0.846181, 0.845068, 0.843993, 0.842946, 0.841919, 0.840909, 0.839913, 0.83893  …  0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2], [0.0, 2.8065e-83, 3.27771e-81, 1.92605e-79, 7.58696e-78, 2.25277e-76, 5.37651e-75, 1.0741e-73, 1.84716e-72, 2.79106e-71  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "# plot(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24,0.5,'Water saturation [-]')"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1-c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low salinity flooding, an exceptional case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.7233666450788676\n",
      "low sal breakthrough time = 0.7792345274868723\n",
      "high sal sw_shock = 0.5033633510803514\n",
      "high sal breakthrough time = 0.6966577483203314\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f8d5b7e35d0>"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sor_hs = 0.25\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  98%|████████████████████████████████████████ |  ETA: 0:00:00\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.30435, 2.6087, 3.91304, 5.21739, 6.52174, 7.82609, 9.13043, 10.4348, 11.7391  …  1162.17, 1163.48, 1164.78, 1166.09, 1167.39, 1168.7, 1170.0, 1171.3, 1172.61, 1173.91], [0.0, 0.000333333, 0.000666667, 0.001, 0.00133333, 0.00166667, 0.002, 0.00233333, 0.00266667, 0.003  …  0.297, 0.297333, 0.297667, 0.298, 0.298333, 0.298667, 0.299, 0.299333, 0.299667, 0.3], [0.0, 6.71685e-14, 1.10652e-13, 1.06026e-13, 4.40388e-14, 1.18054e-13, 1.88738e-14, -1.40628e-14, -3.51571e-14, -7.40149e-14  …  2.27244e-12, 2.35108e-12, 2.2656e-12, 2.31796e-12, 2.32037e-12, 2.25005e-12, 2.28132e-12, 2.33498e-12, 2.35219e-12, 2.29169e-12], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0015, 0.0018, 0.0021, 0.0024, 0.0027  …  0.1473, 0.1476, 0.1479, 0.1482, 0.1485, 0.1488, 0.1491, 0.1494, 0.1497, 0.15], [1.0, 0.847385, 0.846209, 0.845104, 0.844037, 0.842997, 0.841977, 0.840974, 0.839985, 0.839009  …  0.75, 0.75, 0.75, 0.75, 0.75, 0.75, 0.75, 0.75, 0.75, 0.75], [0.0, 3.94379e-83, 4.60356e-81, 2.70355e-79, 1.06427e-77, 3.15785e-76, 7.53089e-75, 1.50329e-73, 2.58308e-72, 3.89962e-71  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5,1,'tertiary low-sal water flood')"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1-c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")\n",
    "title(\"tertiary low-sal water flood\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.7233666450788676\n",
      "low sal breakthrough time = 0.7792345274868723\n",
      "high sal sw_shock = 0.5459811362305774\n",
      "high sal breakthrough time = 0.815198968740043\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sw_shock = 0.7677334588216062\n",
      "low sal breakthrough time = 1.3662640200126213\n",
      "swmax 0.8449520455641369\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f8d5b925790>"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sor_hs = 0.21\n",
    "sw_init = 1-sor_hs\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=sor_hs, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=30.0, p_back=1e5, sw_init=sw_init, \n",
    "    sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res = FF.single_ion_adsorption_water_flood_single_shock(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood, 0.0)\n",
    "FF.visualize(ls_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  96%|███████████████████████████████████████  |  ETA: 0:00:01\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "([0.0, 1.30435, 2.6087, 3.91304, 5.21739, 6.52174, 7.82609, 9.13043, 10.4348, 11.7391  …  1162.17, 1163.48, 1164.78, 1166.09, 1167.39, 1168.7, 1170.0, 1171.3, 1172.61, 1173.91], [0.0, 0.000333333, 0.000666667, 0.001, 0.00133333, 0.00166667, 0.002, 0.00233333, 0.00266667, 0.003  …  0.297, 0.297333, 0.297667, 0.298, 0.298333, 0.298667, 0.299, 0.299333, 0.299667, 0.3], [0.0, 1.05956e-13, 1.06617e-13, 9.78054e-14, 9.75851e-14, 1.96712e-13, 1.70939e-13, -5.72734e-15, 4.20739e-14, 4.11928e-14  …  -1.78649e-12, -1.79839e-12, -1.82724e-12, -1.86645e-12, -1.81182e-12, -1.86161e-12, -1.93826e-12, -1.87262e-12, -1.96316e-12, -1.9039e-12], [0.0, 0.0003, 0.0006, 0.0009, 0.0012, 0.0015, 0.0018, 0.0021, 0.0024, 0.0027  …  0.1473, 0.1476, 0.1479, 0.1482, 0.1485, 0.1488, 0.1491, 0.1494, 0.1497, 0.15], [1.0, 0.847414, 0.846251, 0.845158, 0.844104, 0.843076, 0.842068, 0.841076, 0.840099, 0.839135  …  0.79, 0.79, 0.79, 0.79, 0.79, 0.79, 0.79, 0.79, 0.79, 0.79], [0.0, 5.0858e-83, 5.94677e-81, 3.49838e-79, 1.37953e-77, 4.10032e-76, 9.79528e-75, 1.95863e-73, 3.37116e-72, 5.09786e-71  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24,0.5,'Water saturation [-]')"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "figure(2)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "plot(xt_num/(core_props.length)/pv_num[end], c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24,0.5,'Water saturation [-]')"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num)\n",
    "# plot(xt_num/(core_props.length)/pv_num[end], c_old)\n",
    "plot(ls_res.saturation_profile_xt[:,1], ls_res.saturation_profile_xt[:,2])\n",
    "# plot(ls_res.tracer_profile_xt[:,1], ls_res.tracer_profile_xt[:,2])\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solvent injection: DME example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "901-element Array{Float64,1}:\n",
       " 0.0        \n",
       " 0.000333333\n",
       " 0.000666667\n",
       " 0.001      \n",
       " 0.00133333 \n",
       " 0.00166667 \n",
       " 0.002      \n",
       " 0.00233333 \n",
       " 0.00266667 \n",
       " 0.003      \n",
       " 0.00333333 \n",
       " 0.00366667 \n",
       " 0.004      \n",
       " ⋮          \n",
       " 0.296333   \n",
       " 0.296667   \n",
       " 0.297      \n",
       " 0.297333   \n",
       " 0.297667   \n",
       " 0.298      \n",
       " 0.298333   \n",
       " 0.298667   \n",
       " 0.299      \n",
       " 0.299333   \n",
       " 0.299667   \n",
       " 0.3        "
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv_num"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Pkg.add(\"ProgressMeter\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.2",
   "language": "julia",
   "name": "julia-0.6"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
